Math Answers

Hence,write down the equation with y as subject(in term of x)to represent the production cost.[the value of a,b and c must be indicated]

If N₁ = 10 and N₂ =9 are the sizes where 9 and 10 are the mean of the data respectively then find the 10th number.

Find a particular solution of the differential equation: ((2y-x))/((y+2x) ) ⅆy/ⅆx=1 given that y=3 when x=2

A researcher is interested in determining the average number of years employees of a company stay with the company. If past information shows a standard deviation of 6 months, what sample size should be taken so that, at 95% confidence, the margin of error will be 4 months or less. Assume that the data is normally distributed.

In the Framingham Offspring study 3630 subjects were on anti-hypertensive medication out of 4657 total subjects. What is the length of the 99 percent confidence interval for this data.

A sample of Alzheimer's patients are tested to assess the amount of time in stage IV sleep. It has been hypothesized that individuals suffering from Alzheimer's Disease may spend less time per night in the deeper stages of sleep. Number of minutes spent in Stage IV sleep is recorded for sixty-one patients. The sample produced a mean of 34 minutes with a standard deviation of 27 minutes of stage IV sleep over a 24 hour period of time. What is the length of the 95 percent confidence interval for this data.

A process has been developed that can transform ordinary iron into a kind of super iron called metallic glass. Metallic glass is three to four times stronger than the toughest steel alloys. To estimate the mean temperature at which a particular type of metallic glass becomes brittle, 20 pieces of this material were randomly sampled from a recent production run. Each piece was subjected to higher and higher temperatures until it became brittle. The temperature at which brittleness first appeared was recorded for each piece in the sample. The result suggests that the average temperature which brittleness first appeared is about 545 degrees Fahrenheit with a standard deviation of 27 degrees Fahrenheit. Calculate the length of the 95% confidence interval for the mean temperature at which a particular type of metallic glass becomes brittle.

Translate in two ways each of these statements into logical expressions using predicates, quantifiers, and logical connectives. First, let the domain consist of the students in your class and second, let it consist of all people. a) Everyone in your class has a cellular phone. b) Somebody in your class has seen a foreign movie. c) There is a person in your class who cannot swim. d) All students in your class can solve quadratic equations. e) Some student in your class does not want to be rich

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